7
votes
1answer
236 views
Conceptual Structuralism and Continuum hypothesis
In Ferefman's paper 'Is the Continuum Hypothesis a definite mathematical problem?', he argues that within the philosophy of conceptual structuralism, the continuum hypothesis is no …
3
votes
2answers
396 views
Are all models of ZF + DC + “All set of reals are lebesgue measurable” also models of CH? [closed]
Possible Duplicate:
Lebesgue Measurability and Weak CH
I have studied a little set theory and I found that Solovay constructed a model of ZF+DC+"All set of reals are Lebes …
13
votes
2answers
732 views
Continuum Hypothesis
I am new here, so forgive me if this question does not satisfy the protocols of the site.
I know there are so many equivalents to the AC (axiom of choice) and there are books that …
1
vote
1answer
313 views
Cardinal Arithmetic, foundations and constructive math
This is not my area but a question occurred to me that I can not find the answer to. There is a very strong axiom of constructibility which ironically gives us highly non-construct …
18
votes
1answer
773 views
The Continuum Hypothesis and Countable Unions
I recently edited an answer of mine on math.SE which discussed the implication of the two assertions:
$AH(0)$ which is $2^{\aleph_0}=\aleph_1$, and
$CH$ which says that if $A\sub …

